A 210 g bucket containing 12.5 kg of water is hanging from a steel guitar string with mass m = 8.58 g, density p = 7750 kg/m3, and diameter d = 1.00 mm.
A) When the wind blows, it causes the cord to vibrate at what resonant frequency?
B) Suddenly the bucket springs a leak in the bottom such that water drops out at a steady rate of 2.00 g/s. At what rate are the (i) wave speed, (ii) wavelength of the fundamental mode of vibration, and (iii) frequency changing?
C) How long will it take until the vibration is no longer audible (between 20 Hz and 20,000 Hz)?